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Finding the Fourth Proportional to 6,514, 8,989.34 and 3,529.86

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Solution

The fourth proportional to 6,514, 8,989.34 and 3,529.86 is: 4,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514 : 8,989.34 = 3,529.86 : x
  2. Step 2: Convert to fraction form
    6,514/8,989.34 = 3,529.86/x
  3. Step 3: Cross multiply
    6,514x = 8,989.34 × 3,529.86
  4. Step 4: Simplify right side
    6,514x = 31,731,111.69
  5. Step 5: Solve for x
    x = 31,731,111.69/6,514
  6. Step 6: Final answer
    x = 4,871.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.